The total cost of mower is $10,228.48. The correct option from the following option given is D.
A down payment on a cottage is the money paid in advance by the buyer in a real estate transaction or other large purchase. Down payments are typically a portion of the sales price and can range from 3% to 20% for a primary residence.
The total cost of the mower will be the sum of the down payment and the total amount paid through the loan:
Down payment = $1,000
Total amount paid through the loan = (monthly payment) x (number of months) = $192.26 x 48 = $9,228.48
The total cost of the mower is:
Total cost = Down payment + Total amount paid through the loan
Total cost = $1,000 + $9,228.48
Total cost = $10,228.48
Therefore, the total cost of the mower is $10,228.48.
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Round 17.834 to the nearest tenth. Your answer
Answer:
Hey there!
17.834 rounded to the nearest tenth is 17.8
Let me know if this helps :)
Solve.
-5 3/4 - 3 1/2
Answer:
The answer is
\( - 9 \frac{1}{4} \)
What is natalie’s net income for the month of october? a. $930.00 b. $980.00 c. $1,930.00 d. $1,980.00
The solution to the given problem of equation comes out to be net income $1930.00 option c in month of October.
What is equation ?A mathematical language stating the equality of two variables or mathematical expressions is known as an equation. Noticing how the weights on the left and right are equal, respectively When indicating equality between two numbers or mathematical equations, we use the equal sign.For instance, the equation for the scenario above is 5 kg + 2 kg = 4 kg + 3 kg
Here,
After deducting her contributions, expenses, and other costs, Natalie's gross monthly income is what she is left with.
Despite the fact that you don't give much information in the question, you must solve the equation:
net income = gross income less costs
After deducting her contributions, expenses, and other costs, Natalie's gross monthly income is what she is left with.
Despite the fact that you don't give much information in the question, you must solve the equation:
net income = gross income less costs
Thus , 2500 - 570 =1930
Therefore, net income for the month of October is the answer to the provided equation's difficulty.
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students collect 600 cans for the canned food drive this is 80% of thier goal how many more cans do they need to collect to reachthier goal
Answer:
We can start by using algebra to solve for the total goal of the canned food drive. Let's let "g" be the total goal in number of cans.
If 600 cans is 80% of their goal, then we can write:
0.8g = 600
To solve for "g", we can divide both sides by 0.8:
g = 600 / 0.8
g = 750
So the total goal of the canned food drive is 750 cans.
To find out how many more cans the students need to collect to reach their goal, we can subtract the number of cans they've already collected from the total goal:
750 - 600 = 150
Therefore, the students need to collect 150 more cans to reach their goal.
If E is a midpoint of DF, find the value of x. Round your answer to the nearest tenth if necessary. EF = 92FD = 9X - 10
E = midpoint
DF = DE + EF
but, DE = EF because E is the midpoint
Substitution
9x - 10 = 92 + 92
Simplification
9x - 10 = 184
9x = 184 + 10
9x = 194
x = 194/9
x = 21.55
Which theorem shows that AABC A DEF?
A The triangles are not congruent.
B. SAS Triangle Congruence Theorem
C. Isosceles Triangle Theorem
D. SSS Triangle Congruence Theorem
You're designing a study and want to know the sample size needed to achieve a confidence interval for the population proportion with a given margin of error at a given confidence level. Although there have been previous studies like the one you're conducting, you think the population proportion has changed significantly, and you don't know what value to use for p*. How should you go about finding the sample size needed to achieve your desired margin of error?
In order to determine the sample size needed to achieve a desired margin of error for the population proportion, you will need to use a formula that takes into account the confidence level, the margin of error, and an estimate of the population proportion (p*).
However, since you do not have a reliable estimate of p*, you can use a conservative estimate of 0.5 to calculate the sample size. This will ensure that you have a large enough sample size to capture any changes in the population proportion, while still maintaining a reasonable level of precision in your estimate. Once you have collected your data, you can use the sample proportion as an estimate of the population proportion in any subsequent analyses.
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use a proportion to estimate each animal population total ducks counted:1,100 marked ducks counted:257 total marked duck:960
The total population of ducks is 960.
To estimate the total population of ducks, we can set up a proportion using the marked ducks as a sample.
Let's use the following proportion:
Total Ducks / Marked Ducks = Total Marked Ducks / Marked Ducks Counted
Total Ducks / 257 = 960 / 257
Total Ducks x 257 = 960 x 257
Divide both sides by 257 to solve for Total Ducks:
Total Ducks = (960 x 257) / 257
Total Ducks = 960
Based on the proportion, we estimate that the total population of ducks is 960.
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Which of the following is not a perfect square?
A. 50
B. 49
C. 121
D. 1
Hey guys! I have some math questions I need help with! If your interested to help me please comment! Pls help me ASAP I don’t have time. You can put you snap or instagram user so I can DM you.
Answer: what is your question
Step-by-step explanation: Also for what subject
how to convert 3m to cm
Step-by-step explanation:
So for starters there are 100 centimeters in one meter.
therefore, you would multiply whatever number of meters by 100-
in this case there would be 300 centimeters.
Hope this helped. Have an amazing day
- Birdy
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is
15
:
1
15:115, colon, 1. He currently has
40
4040 grams of the spice blend, and he can go buy more if necessary. He wants to make
10
1010 servings, where each serving has
75
7575 grams of rice. Overall, David spends
4.50
4.504, point, 50 dollars on rice.
What is the price of rice per gram?
Answer:
The price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.
Step-by-step explanation:
David wants to make 10 servings, where each serving has 75 grams of rice. So, he needs a total of 10 * 75 = 750 grams of rice. the price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.
Find the Laurent series for1/z+z^2 on the indicated sets: (a) 0<∣z∣<1(b) 1< |z|(c) 0< |z+1| < 1(d) 1 < |z+1|
Laurent series
\((a) 1/(z + z^2) = 1/z(1 + z) = 1/z + 1/z^2 + 1/z^3 + ..\)
\((b) 1/(z + z^2) = 1/z + 1/z^2 + 1/z^3 + ... - 1/(z + 1) - 1/(z + 1)^2 - 1/(z + 1)^3 - ...\)
\((c) 1/(z + z^2) = 1/z + 1/(z+1) - 1/(z+1)^2 + 1/(z+1)^3 - ...\)
\((d) -1/(z + 1) = A/(z - (1 + i√3)/2) + B/(z - (1 - i√3)/2)\)
(a) How to find Laurent series on set 0<∣z∣<1?For the annulus 0 < |z| < 1, we can write \(1/(z + z^2)\) as 1/z(1 + z), and expand \(1/(1 + z)\)in a geometric series:
\(1/(z + z^2) = 1/z(1 + z) = 1/z + 1/z^2 + 1/z^3 + ...\)
This is a Laurent series with a principal part consisting of infinitely many terms of the form\(1/z^n,\) where n is a nonnegative integer.
(b) How to find Laurent series on set 1< |z|?(b) For the annulus 1 < |z|, we can use partial fractions to write\(1/(z + z^2) as 1/z - 1/(z + 1).\)
Expand each term using geometric series.
\(1/z = 1/(z(1 - 1/z)) = 1/z + 1/z^2 + 1/z^3 + ...\)
\(-1/(z + 1) = -1/[(z + 1)(1 - z/(z + 1))] = -1/(z + 1) - 1/(z + 1)^2 - 1/(z + 1)^3 - ...\)
Combining these expansions, we get
\(1/(z + z^2) = 1/z - 1/(z + 1) = 1/z + 1/z^2 + 1/z^3 + ... - 1/(z + 1) - 1/(z + 1)^2 - 1/(z + 1)^3 - ...\)
This is a Laurent series with a principal part consisting of infinitely many terms of the form\(1/z^n\) and \(-1/(z + 1)^n\), where n is a nonnegative integer.
(c) How to find Laurent series on set 0< |z+1| < 1?For the annulus \(0 < |z + 1| < 1,\) we can write \(1/(z + z^2) as 1/z(1 + z/z+1)\), Then Expand\(1/(1 + z/z+1)\)in a geometric series:
\(1/(z + z^2) = 1/z(1 + z/z+1) = 1/z + 1/(z+1) - 1/(z+1)^2 + 1/(z+1)^3 - ...\)
This is a Laurent series with a principal part consisting of infinitely many terms of the form \(1/z^n\) and \(1/(z + 1)^n\)for even n, and\(-1/(z + 1)^n\)for odd n.
(d) How to find Laurent series on set 1 < |z+1|?For the annulus 1 < |z + 1|, we can use partial fractions to write\(1/(z + z^2)\)as \(-1/(z + 1) + 1/(z + z^2 - z),\) where \(z^2 - z + 1 = 0\) has roots at\(z = (1 ± i√3)/2.\)
Then we can expand each term using geometric series:
\(-1/(z + 1) = -1/[(z + 1)(1 - z/(z + 1))] = -1/(z + 1) - 1/(z + 1)^2 - 1/(z + 1)^3 - ...\)
\(1/(z + z^2 - z) = 1/[(z - (1 + i√3)/2)(z - (1 - i√3)/2)] = A/(z - (1 + i√3)/2) + B/(z - (1 - i√3)/2)\)
where A and B are constants that can be found using partial fractions
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What is the sign of the third term of the expansion of (x - y)n for n = 3, 4, and 5?
Cⁿ₁ is always positive, then the second term has negative sign.
What does binomial expansion mean?
Theorem that states that any power of a binomial (a + b) can be expanded as a specific sum of products (aibj), such as (a + b)2 = a2 + 2ab + b2.
The i-th term of the binomial expansion \((x- y)^{n}\)
Ti = nCi - 1 . (x)ⁿ+¹⁺i . (-y)i - 1
For any n, when i=2,
T₂ = nC₂₋₁ . xⁿ⁺¹⁻² . (-y)²⁻¹ = -Cⁿ₁ xⁿ⁻¹ . y
Given that is consistently positive, the second term has a negative sign.
Cn1 is consistently positive, and the second term is always negative.
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A statewide poll for an upcoming gubernatorial election concluded that 52.8% of the voters will vote for candidate A and 47.1% will vote for candidate B. The margin of error is ±2.5%. The confidence level for this result is 95%. Explain the confidence interval.
Step-by-step explanation:
a) For a 95% confidence interval we use the formula
First we need to establish the sample proportion
The sample size is
n = 200
and the critical value of z for a 95% confidence interval is
z* = 1.960
This gives us
This gives us an upper confidence limit of
.525 + .069 = .594 or 59.4%
and a lower confidence limit of
.525 - .069 = .456 or 45.6%
b) At this point her supporters wonder what her chances of winning are. 45.6% is below 50%, so she might lose. To find her chances of losing, consider the bell shaped curve
top
Her probability of winning is the area to the right of 50%. We need to turn the 50% into a z score
= -.708
We look up a z-score of -.71 in Table A and get an area of .2389. This is the probability that she will lose. the probability that she will win is
.7611
c) The candidate's supporters would like to be more sure that she will win. They decide to increase the sample size until the 95% confidence interval is only plus or minus 3%. They want to know how large of a sample they will need to get that kind of accuracy. We use the formula for the margin of error.
top
To solve for n, first square both sides to get rid of the radical.
Multiply both sides by n and divide both sides by m2.
For a 95% confidence interval z* = 1.96. We put in our other numbers
= 1064.4433
so they would have to survey 1065 people in order to get a 95% confidence interval that would only stretch up and down 3%.
top
help this is for my friend
Answer: stop climbing the volcano im jk any way .7-10sec
Choose the correct preposition to complete the sentence. To facilitate a quick getaway, the cunning thief parked the car perpendicular the building.
Answer:
The answer is TO
Step-by-step explanation:
Answer:
C. To
Step-by-step explanation:
edg 2020
Plz help no links thank you
Answer:
58
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
x + 56 = 114 subtract 56 from both sides
x = 58
A company plans to launch a new product. They have traditionally had a 60% success rate with the launch of new products. Market research predicts that a positive test market results is 80% of successfully launched products and a positive market result for 30% of failed product launches. A) If a market test result comes back negative, what is the probability that the product will be successfully launched?
Answer:
The probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
Step-by-step explanation:
Denote the events provided as follows:
S = a product is successfully launched
P = positive test market result
The information provided is:
P (S) = 0.60
P (P | S) = 0.80
P (P | S') = 0.30
Then,
P (P' | S) = 1 - P (P | S) = 1 - 0.80 = 0.20
P (P' | S') = 1 - P (P | S') = 1 - 0.30 = 0.70
Compute the probability of positive test market result as follows:
\(P(P)=P(P|S)P(S)+P(P|S')P(S')\)
\(=(0.80\times 0.60)+(0.30\times 0.40)\\\\=0.48+0.12\\\\=0.60\)
The probability of positive test market result is 0.60.
Then the probability of negative test market result is:
P (P') = 1 - P (P)
= 1 - 0.60
= 0.40
Compute the probability that the product will be successfully launched given that the market test result comes back negative as follows:
\(P(S|P')=\frac{P(P'|S)P(S)}{P(P')}\)
\(=\frac{0.20\times 0.60}{0.40}\\\\=0.30\)
Thus, the probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
A researcher wants to determine if the number of calories burned during an hour is the same for running and walking. What type of data would be measured?
Group of answer choices
scale
nominal
independent t test
ANOVA
The researcher wants to determine if the number of calories burned during an hour is the same for running and walking. To conduct this investigation, the researcher would measure continuous scale data.
Continuous scale data is quantitative data that can take any numerical value within a certain range.
In this case, the researcher would measure the number of calories burned, which is a continuous variable that can have various values within a specific range (e.g., 0, 100, 200, etc.).
By measuring the calories burned for both running and walking, the researcher can compare and analyze the numerical data to determine if there is a significant difference between the two activities.
It is important to note that the type of statistical analysis required to evaluate the data would depend on the specific research design and the number of groups involved.
If the researcher is comparing only two groups (running and walking), an independent t-test may be appropriate.
On the other hand, if there are more than two groups or additional factors being considered, an analysis of variance (ANOVA) might be more suitable.
The choice of statistical analysis method would depend on the specific research question and study design.
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Casho has a points card for a movie theater. She receives 55 rewards points just for signing up. She earns 2.5 points for each visit to the movie theater. She needs at least 90 points for a free movie ticket. Use the drop-down menu below to write an inequality representing v, the number of visits she needs to make in order to get a free movie ticket.
Answer: She need 14 visits to reach 90 points
Step-by-step explanation:
Let y be the number of points and v be the number of visits
We will have an equation
y= 2.5v + 55
Now we want to find the number of visits she needs to reach 90 points; we put 90 in the y.
90 = 2.5v +55
Subtracted 55 from both sides
35 = 2.5v
Divided both sides by 2.5
v= 14 visits
So she need 14 visits to reach 90 points
please help me with all problems!!
The matching part on the graph should be completed as follows;
The y-intercept is -1.
The axis of symmetry is 0.
The vertex is (0, -2).
The equation for finding the x-coordinate of the axis of symmetry is -b/2a.
For the graph of f(x) = -3x² + 6x - 1, the lines from each part of the parabola should be drawn and labeled as shown in the image attached below.
I disagree with Chen because the vertex is at (3, -6.5).
How to calculate the axis of symmetry of a quadratic function?Mathematically, the axis of symmetry (vertex) of a quadratic function can be calculated by using this mathematical expression:
Axis of symmetry (vertex), Xmax = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = 1.5x² - 9x + 7, we have:
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(-9)/2(1.5)
Axis of symmetry, Xmax = 9/3
Axis of symmetry, Xmax = 3.
Next, we would determine the vertex when x = 3 as follows;
f(x) = 1.5x² - 9x + 7
f(x) = 1.5(3)² - 9(3) + 7
f(x) = 13.5 - 27 + 7
f(x) = -6.5
Therefore, Chen was wrong because the vertex of the quadratic function f(x) = 1.5x² - 9x + 7 is at (3, -6.5).
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Simplify to a single power of 5: 5^8/5^6
Answer:
5^8/5^6 = 5^(8-6) = 5^2 = 25. Therefore, 5^8/5^6 simplified to a single power of 5 is 25.
Step-by-step explanation:
Answer:
the answer for that is 5^6-3 = 5^3 = 125
Step-by-step explanation:
CC has the following beginning balances in its stockholders' equity accounts on January 1, 2012: Common Stock, $100,000; Additional Paid-in Capital, $4,100,000; and Retained Earnings, $3,000,000. Net income for the year ended December 31, 2012, is $800,000. Court Casuals has the following transactions affecting stockholders' equity in 2012:
May 18 Issues 25,000 additional shares of $1 par value common stock for $40 per share.
May 31 Repurchases 5,000 shares of treasury stock for $45 per share.
July 1 Declares a cash dividend of $1 per share to all stockholders of record on July 15. Hint: Dividends are not paid on treasury stock.
July 31 Pays the cash dividend declared on July 1.
August 10 Reissues 2,500 shares of treasury stock purchased on May 31 for $48 per share.
Taking into consideration all the entries described above, prepare the statement of stockholders' equity for the year ended December 31, 2012.
Total stockholders’ equity 7,800,000
Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000
Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000
Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000
To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.
The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.
Calculations:Opening balance of common stock = $100,000
Opening balance of additional paid-in capital = $4,100,000
Opening balance of retained earnings = $3,000,000
Net Income for the year ended December 31, 2012 = $800,000
Retained earnings (Opening Balance) = $3,000,000
Add: Net Income for the year ended December 31, 2012 = $800,000
Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000
Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000
Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Tyler was trying to prove that all rhombuses are similar. He thought, “If I draw 2 rhombuses, I can find dilations that will take one rhombus exactly onto the other.” Then he wrote a proof. All rhombuses are NOT similar. Tyler’s proof has flaws.
Step 3 and step 6 are incorrect. What is wrong with step 3 and what is wrong with step 6?
Tyler's Proof is below,
Step 1: Let
A
B
C
D
and
W
X
Y
Z
be rhombuses. By the definition of a rhombus
A
B
≅
B
C
≅
C
D
≅
D
A
, and
W
X
≅
X
Y
≅
Y
Z
≅
Z
W
.
Step 2: Dilate rhombus
A
B
C
D
by the scale factor given by
W
X
A
B
. Side
A
′
B
′
will be the same length as
W
X
because of how I chose the scale factor. Because all sides of a rhombus are congruent,
B
′
C
′
will be the same length as
W
X
and therefore the same length as
X
Y
,
C
′
D
′
will be the same length as
Y
Z
, and
A
′
D
′
will be the same length as
W
Z
. That means all the corresponding sides of
A
′
B
′
C
′
D
′
and
W
X
Y
Z
will be the same length.
Step 3: If all the sides in 2 figures are proportional, then those 2 figures are similar, so there must be a sequence of transformations that take
A
B
C
D
onto
W
X
Y
Z
using dilations and rigid motions.
Step 4: Translate
A
′
B
′
C
′
D
′
by the directed line segment
A
′
W
so that
A
"
and
W
coincide.
Step 5: Rotate
A
"
B
"
C
"
D
"
by angle
B
"
W
X
so that
B
"
′
and
X
coincide. Now segments
A
"
′
B
"
′
and
W
X
coincide.
Step 6: If needed, reflect
A
"
′
B
"
′
C
"
′
D
"
′
over segment
W
X
so that
D
""
and
Z
are on the same side of
W
X
. Now segments
A
""
D
""
and
W
Z
coincide.
Step 7: Once 3 vertices of the rhombus are lined up, the other vertex has to line up as well or else the shapes wouldn’t be rhombuses. So, we have shown we can use rigid motions and dilations to line up any 2 rhombuses, and therefore, all rhombuses are similar.
Step 3 and step 6 are incorrect. What is wrong with step 3 and what is wrong with step 6? Complete the explanations using the dropdown options.
Step 3 is incorrect because
the figures are actually congruent.
.
Step 6 is incorrect because
.
Answer:
7pi/6 - pi/3) = sin(7pi/6 - 2pi/6) = sin(5pi/6) = sin(pi - pi/6) = sin(pi/6)
Step-by-step explanation:
this is worth 20 points so please help me
A jewelry store marks its merchandise up by 80%. If the wholesale price of a bracelet is $55, what will the store charge for the retail price?
O A) $63
OB) $75
OC) $99
OD) $110
Answer: B.
Step-by-step explanation:
x=5 y = 3, x² + 3(x +y)=
HELP FAST
9514 1404 393
Answer:
49
Step-by-step explanation:
Put the variable values in place of the corresponding variables, and do the arithmetic.
x² +3(x +y) =
5² +3(5 +3) = 25 +3(8) = 25 +24 = 49
14 boys and 21 girls will be equally divided into groups. Find the greatest number of groups that can be created if no one is left out.
Answer:
7
Step-by-step explanation:
GCF of 14 and 21 is 7
what is the probability that the number of systems sold is more than 2 standard deviations from the mean?
The probability of the number of systems sold being more than 2 standard deviations from the mean will depend on the sample size and the sample statistics.
In the event that we need to discover the probability that the number of systems sold is more than 2 standard deviations from the cruel, we ought to discover the zone beneath the typical bend past 2 standard deviations from the cruel in both headings (i.e., within the tails).
Agreeing to the observational run of the show (moreover known as the 68-95-99.7 run of the show), roughly 95% of the perceptions in a typical conveyance drop inside 2 standard deviations of the cruel. Hence, the likelihood of a perception being more than 2 standard deviations from the cruel is roughly 1 - 0.95 = 0.05.
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please help me 4 1/7 + 1/2
Answer:
Exact Form:65/14
Mixed number Form:4 9/14
Step-by-step explanation:
Answer:
4 9/14
as an improper fraction: 65/14
hopefully this helped :3